Roger David Nussbaum (born 29 January 1944, in Philadelphia) [1] is an American mathematician, specializing in nonlinear functional analysis and differential equations.
Nussbaum graduated in 1965 with a bachelor's degree from Harvard University. He received his Ph.D. in 1969 from the University of Chicago with thesis The Fixed Point Index and Fixed Point Theorems for K-Set Contractions supervised by Felix Browder. [2] At Rutgers University Nussbaum became in 1969 an assistant professor, in 1973 an associate professor, and in 1977 a full professor. He retired there as professor emeritus. [3] He was elected in 2012 a Fellow of the American Mathematical Society.
Solomon Lefschetz was a Russian-born American mathematician who did fundamental work on algebraic topology, its applications to algebraic geometry, and the theory of non-linear ordinary differential equations.
Hans Lewy was a Jewish American mathematician, known for his work on partial differential equations and on the theory of functions of several complex variables.
Nathan Jacobson was an American mathematician.
Robert Steinberg was a mathematician at the University of California, Los Angeles.
Lipman Bers was a Latvian-American mathematician, born in Riga, who created the theory of pseudoanalytic functions and worked on Riemann surfaces and Kleinian groups. He was also known for his work in human rights activism.
In mathematics, Harish-Chandra's regularity theorem, introduced by Harish-Chandra (1963), states that every invariant eigendistribution on a semisimple Lie group, and in particular every character of an irreducible unitary representation on a Hilbert space, is given by a locally integrable function. Harish-Chandra proved a similar theorem for semisimple p-adic groups.
In mathematics, the Browder–Minty theorem (sometimes called the Minty–Browder theorem) states that a bounded, continuous, coercive and monotone function T from a real, separable reflexive Banach space X into its continuous dual space X∗ is automatically surjective. That is, for each continuous linear functional g ∈ X∗, there exists a solution u ∈ X of the equation T(u) = g. (Note that T itself is not required to be a linear map.)
Eliezer 'Leon' Ehrenpreis was a mathematician at Temple University who proved the Malgrange–Ehrenpreis theorem, the fundamental theorem about differential operators with constant coefficients. He previously held tenured positions at Yeshiva University and at the Courant Institute at New York University.
Sigurdur Helgason is an Icelandic mathematician whose research has been devoted to the geometry and analysis on symmetric spaces. In particular, he has used new integral geometric methods to establish fundamental existence theorems for differential equations on symmetric spaces as well as some new results on the representations of their isometry groups. He also introduced a Fourier transform on these spaces and proved the principal theorems for this transform, the inversion formula, the Plancherel theorem and the analog of the Paley–Wiener theorem.
Edward James McShane was an American mathematician noted for his advancements of the calculus of variations, integration theory, stochastic calculus, and exterior ballistics. His name is associated with the McShane–Whitney extension theorem and McShane integral. McShane was professor of mathematics at the University of Virginia, president of the American Mathematical Society, president of the Mathematical Association of America, a member of the National Science Board and a member of both the National Academy of Sciences and the American Philosophical Society.
Henry P. McKean, Jr. is an American mathematician at the Courant Institute in New York University. He works in various areas of analysis. He obtained his PhD in 1955 from Princeton University under William Feller.
James Alexander Shohat was a Russian-American mathematician at the University of Pennsylvania who worked on the moment problem. He studied at the University of Petrograd and married the physicist Nadiascha W. Galli, the couple emigrating from Russia to the United States in 1923.
Lee Albert Rubel was a mathematician known for his contributions to analog computing.
Harold Thayer Davis was a mathematician, statistician, and econometrician, known for the Davis distribution.
Alexander Doniphan Wallace was an American mathematician who introduced proximity spaces.
Jane Smiley Cronin Scanlon was an American mathematician and an emeritus professor of mathematics at Rutgers University. Her research concerned partial differential equations and mathematical biology.
Albert Baernstein II was an American mathematician.
George Roger Sell was an American mathematician, specializing in differential equations, dynamical systems, and applications to fluid dynamics, climate modeling, control systems, and other subjects.
Victor Lenard Shapiro was an American mathematician, specializing in trigonometric series and differential equations. He is known for his two theorems on the uniqueness of multiple Fourier series.
Bertram John Walsh is an American mathematician, specializing in locally convex spaces, harmonic analysis, and partial differential equations.